Question

In scientific notation how many times greater is (1.3 x 10^4) than (7.4x 10^3)

Answer 1

To determine how many times greater (1.3 x 10^4) is than (7.4 x 10^3) in scientific notation, we can divide the larger number by the smaller number as follows:

(1.3 x 10^4) / (7.4 x 10^3)

= (1.3 / 7.4) x (10^4 / 10^3)

= 0.1757 x 10^1

= 1.757 x 10^0

So, (1.3 x 10^4) is 1.757 times greater than (7.4 x 10^3), or we can say that (1.3 x 10^4) is approximately 1.76 times greater than (7.4 x 10^3).

Answer 2

`\cfrac{1.3* 10^(4)}{7.4* 10^(3)}\implies \cfrac{1.3}{7.4}* \cfrac{10^4}{10^3}\implies \cfrac{1.3}{7.4}* 10^4\cdot 10^(-3)\implies \cfrac{1.3}{7.4}* 10^(4-3) \\\\\\ \cfrac{1.3}{7.4}* 10\implies \cfrac{130}{7.4}\implies \cfrac{130}{~~ (74 )/( 10 ) ~~}\implies \cfrac{1300}{74}\implies 17(21)/(37) \implies 17.\overline{567}`